Global adaptive control for a class of uncertain stochastic nonlinear systems with unknown output gain

Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function and unknown growth rates

“…For example, [15] investigated the global output feedback controller design for SNSs with output function y = z 1 . [17] dealt with the SNSs for p i = 1 where the nonlinear terms are merely relevant to system output. [22] addressed the adaptive output feedback stabilization issue of deterministic systems with τ ≥ 0.…”

“…Additionally, the output signals are usually measured by sensors in actual engineering applications as mentioned in [16], which leads to the uncertainty of output function. Taking this into consideration, problem of controller design by output feedback was handled in [16][17][18][19][20][21], when the output function is no longer precise. But except for the study on deterministic systems in [22], there is few related research with respect to the output feedback stabilization for highorder systems with uncertain output function, and the aforementioned results cannot be used for the cases when system parameters are uncertain in high-order SNSs.…”

Continuous feedback stabilization for a class of affine stochastic nonlinear systems

“…To relax this restriction, Li and Liu in [19] generalized the concepts and theorems of global stability to the stochastic nonlinear systems without the local Lipschitz condition or having more than one weak solution. Since then, many papers use the techniques developed in [19], one can cite [11], [27].…”

Global sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems with quantized input and unknown output gain

“…On the other hand, the problems related to stability analysis and control synthesis of switched stochastic nonlinear systems have received a lot of attention (Huang and Xiang, 2016a; Sheng et al, 2014; Yan et al, 2018). In non-switched case, Zha et al (2017) designed an output feedback controller to stabilize uncertain stochastic nonlinear systems by a recursive method. For stochastic systems, Luo et al (2018) presented novel stability analysis approaches.…”